Dear Janet and Dave,
Probably a final comment from me.
I was doing my bit for the One Name Study by collecting the names and dates of Bunting wills at the London, UK, Probate Registry in High Holborn where copies of the post 1858 wills and grants of probate may be obtained.
During the search today I came across the reference to the will for Edwin Brooks Bunting and wondered if you were interested in it? The Registry make a UK charge of £5.
Not that a will is likely to give much of a clue about his parents names but there might be sufficient clues about any modern beneficiaries who may know about them.
Michael.